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Simplifying 5m + -3(4m + 5) = 3m + 2(m + 5) Reorder the terms: 5m + -3(5 + 4m) = 3m + 2(m + 5) 5m + (5 * -3 + 4m * -3) = 3m + 2(m + 5) 5m + (-15 + -12m) = 3m + 2(m + 5) Reorder the terms: -15 + 5m + -12m = 3m + 2(m + 5) Combine like terms: 5m + -12m = -7m -15 + -7m = 3m + 2(m + 5) Reorder the terms: -15 + -7m = 3m + 2(5 + m) -15 + -7m = 3m + (5 * 2 + m * 2) -15 + -7m = 3m + (10 + 2m) Reorder the terms: -15 + -7m = 10 + 3m + 2m Combine like terms: 3m + 2m = 5m -15 + -7m = 10 + 5m Solving -15 + -7m = 10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -15 + -7m + -5m = 10 + 5m + -5m Combine like terms: -7m + -5m = -12m -15 + -12m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 -15 + -12m = 10 + 0 -15 + -12m = 10 Add '15' to each side of the equation. -15 + 15 + -12m = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -12m = 10 + 15 -12m = 10 + 15 Combine like terms: 10 + 15 = 25 -12m = 25 Divide each side by '-12'. m = -2.083333333 Simplifying m = -2.083333333
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